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130811331 = 372889873
BaseRepresentation
bin1111100110000…
…00010111000011
3100010010220102010
413303000113003
5231441430311
620551424003
73145610100
oct763002703
9303126363
10130811331
1167926542
1237985003
1321140b71
1413531aa7
15b73dda6
hex7cc05c3

130811331 has 12 divisors (see below), whose sum is σ = 202891272. Its totient is φ = 74749248.

The previous prime is 130811321. The next prime is 130811357. The reversal of 130811331 is 133118031.

It is not a de Polignac number, because 130811331 - 214 = 130794947 is a prime.

It is a super-2 number, since 2×1308113312 = 34223208635983122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 130811298 and 130811307.

It is not an unprimeable number, because it can be changed into a prime (130811321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444790 + ... + 445083.

It is an arithmetic number, because the mean of its divisors is an integer number (16907606).

Almost surely, 2130811331 is an apocalyptic number.

130811331 is a deficient number, since it is larger than the sum of its proper divisors (72079941).

130811331 is an equidigital number, since it uses as much as digits as its factorization.

130811331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889890 (or 889883 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 130811331 is about 11437.2781289956. The cubic root of 130811331 is about 507.6313730445.

Adding to 130811331 its reverse (133118031), we get a palindrome (263929362).

The spelling of 130811331 in words is "one hundred thirty million, eight hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 7 21 49 147 889873 2669619 6229111 18687333 43603777 130811331